{"id":"https://openalex.org/W2056144929","doi":"https://doi.org/10.1080/1055678031000116538","title":"Integration of Two Multiobjective Optimization Methods for Nonlinear Problems","display_name":"Integration of Two Multiobjective Optimization Methods for Nonlinear Problems","publication_year":2003,"publication_date":"2003-02-01","ids":{"openalex":"https://openalex.org/W2056144929","doi":"https://doi.org/10.1080/1055678031000116538","mag":"2056144929"},"language":"en","primary_location":{"id":"doi:10.1080/1055678031000116538","is_oa":false,"landing_page_url":"https://doi.org/10.1080/1055678031000116538","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020945863","display_name":"Kaisa Miettinen","orcid":"https://orcid.org/0000-0003-1013-4689"},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Kaisa Miettinen","raw_affiliation_strings":["a    Department of Mathematical Information Technology, FIN-40014 University of Jyv\u00e4skyl\u00e4 P.O. Box 35 (Agora), University of Jyv\u00e4skyl\u00e4, Finland"],"affiliations":[{"raw_affiliation_string":"a    Department of Mathematical Information Technology, FIN-40014 University of Jyv\u00e4skyl\u00e4 P.O. Box 35 (Agora), University of Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088271989","display_name":"\u0410. \u0412. \u041b\u043e\u0442\u043e\u0432","orcid":"https://orcid.org/0000-0002-6531-3644"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210143490","display_name":"Computing Center","ror":"https://ror.org/0557kgc34","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210143490","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander V. Lotov","raw_affiliation_strings":["b    Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia","Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"b    Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia","institution_ids":["https://openalex.org/I4210143490","https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia","institution_ids":["https://openalex.org/I1313323035"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065735550","display_name":"G. K. Kamenev","orcid":"https://orcid.org/0000-0002-1809-2017"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210143490","display_name":"Computing Center","ror":"https://ror.org/0557kgc34","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210143490","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"George K. Kamenev","raw_affiliation_strings":["b    Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia","Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"b    Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia","institution_ids":["https://openalex.org/I4210143490","https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia","institution_ids":["https://openalex.org/I1313323035"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064821597","display_name":"\u0412. \u0415. \u0411\u0435\u0440\u0435\u0437\u043a\u0438\u043d","orcid":null},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210143490","display_name":"Computing Center","ror":"https://ror.org/0557kgc34","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210143490","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vadim E. Berezkin","raw_affiliation_strings":["b    Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia","Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"b    Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia","institution_ids":["https://openalex.org/I4210143490","https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Russian Academy of Sciences, Computing Center, Vavilov Street 40, 117967 Moscow, Russia","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5020945863"],"corresponding_institution_ids":["https://openalex.org/I94722563"],"apc_list":null,"apc_paid":null,"fwci":3.272,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.91400307,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"18","issue":"1","first_page":"63","last_page":"80"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10969","display_name":"Water resources management and optimization","score":0.9491000175476074,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9326000213623047,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6884514093399048},{"id":"https://openalex.org/keywords/decision-maker","display_name":"Decision maker","score":0.6091107130050659},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5967597365379333},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5367591977119446},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5118798017501831},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4934186041355133},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4853059649467468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48397159576416016},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.46609583497047424},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43176108598709106},{"id":"https://openalex.org/keywords/decision-support-system","display_name":"Decision support system","score":0.4108227491378784},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2585919499397278},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.20519819855690002}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6884514093399048},{"id":"https://openalex.org/C2986080485","wikidata":"https://www.wikidata.org/wiki/Q1331926","display_name":"Decision maker","level":2,"score":0.6091107130050659},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5967597365379333},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5367591977119446},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5118798017501831},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4934186041355133},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4853059649467468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48397159576416016},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.46609583497047424},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43176108598709106},{"id":"https://openalex.org/C107327155","wikidata":"https://www.wikidata.org/wiki/Q330268","display_name":"Decision support system","level":2,"score":0.4108227491378784},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2585919499397278},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.20519819855690002},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/1055678031000116538","is_oa":false,"landing_page_url":"https://doi.org/10.1080/1055678031000116538","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.75}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2085577866","https://openalex.org/W3027213359","https://openalex.org/W2111219748","https://openalex.org/W1859647825","https://openalex.org/W4295681450","https://openalex.org/W2327275472","https://openalex.org/W4316468279","https://openalex.org/W3138664996","https://openalex.org/W2164317598","https://openalex.org/W2912228362"],"abstract_inverted_index":{"In":[0],"this":[1,91],"paper,":[2],"we":[3],"bring":[4],"together":[5],"two":[6,190,256],"existing":[7],"methods":[8,21,257],"for":[9,200],"solving":[10,135],"multiobjective":[11,61,130],"optimization":[12,131],"problems":[13],"described":[14],"by":[15,73],"nonlinear":[16,136],"mathematical":[17,74],"models":[18,75],"and":[19,34,60,137,140,154,196,222],"create":[20],"that":[22,54,98],"benefit":[23],"from":[24],"both":[25],"heir":[26],"strengths.":[27],"We":[28,188],"use":[29],"the":[30,35,67,96,100,105,112,123,149,162,167,170,173,183,194,197,204,213,223,231,241,247,250,255,263],"Feasible":[31,44],"Goals":[32,45],"Method":[33,46],"NIMBUS":[36,126,198],"method":[37,132,163,199],"to":[38,103,151,182,212],"form":[39,232],"new":[40],"hybrid":[41,264],"approaches.":[42],"The":[43,143],"(FGM)":[47],"is":[48,64,109,127,164,244],"a":[49,77,117,159,234],"graphic":[50,124],"decision":[51,101,113,144,174,207,214,224],"support":[52],"tool":[53],"combines":[55],"ideas":[56],"of":[57,69,79,90,107,134,169,180,193,233,249],"goal":[58,237,243],"programming":[59],"methods.":[62],"It":[63],"based":[65,165],"on":[66,122,166],"transformation":[68],"numerical":[70],"information":[71,94],"given":[72],"into":[76],"variety":[78,92],"feasible":[80,85,119,217,236],"criterion":[81,120,218],"vectors":[82],"(that":[83],"is,":[84],"goals).":[86],"Visual":[87],"interactive":[88,129],"display":[89],"provides":[93],"about":[95],"problem":[97,150],"helps":[99],"maker":[102,114,145,175],"detect":[104],"limits":[106],"what":[108,178],"possible.":[110],"Then,":[111,240],"can":[115,146,176,258],"identify":[116],"preferred":[118],"vector":[121],"display.":[125],"an":[128,270],"capable":[133],"even":[138],"nondifferentiable":[139],"nonconvex":[141],"problems.":[142],"iteratively":[147],"evaluate":[148],"be":[152,259],"solved":[153],"express":[155],"personal":[156],"preferences":[157,226],"in":[158,202,230],"simple":[160,209],"form:":[161],"classification":[168,248],"criteria,":[171],"where":[172],"indicate":[177],"kind":[179],"changes":[181],"current":[184],"solution":[185],"are":[186,220,227,266],"desirable.":[187],"describe":[189],"possible":[191],"hybrids":[192],"FGM":[195],"helping":[201],"finding":[203],"most":[205],"preferable":[206,235],"(using":[208],"questions":[210],"posed":[211],"maker).":[215],"First,":[216],"values":[219],"explored,":[221],"maker's":[225],"expressed":[228],"roughly":[229],"(FGM":[238],"stage).":[239,253],"identified":[242],"refined":[245],"using":[246],"criteria":[251],"(NIMBUS":[252],"Alternatively,":[254],"used":[260],"interactively.":[261],"Both":[262],"approaches":[265],"here":[267],"illustrated":[268],"with":[269],"example.":[271]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
